My STF-3 sounds great with music, as did my STF-1!  The VTF-3 should be even better.  No one-note bass here.  Nice, sharp kick drums and melodic bass runs.  But I listen to rock and blues.  I can't speak for classical or jazz presentations.  The VTF-3 would definitely get my vote.  I've heard several large model Velo subs, but not the HGS12, and found them wanting.
But I'm sure you'd be really happy with either.